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13 November, 07:33

K, D and T sent a total of 112 text messages over the weekend. T sent 10 fewer messages than K. D sent 4 times as many messages as T. How many messages did they each send?

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  1. 13 November, 07:43
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    T sent 17 messages

    K sent 27 messages

    D sent 68 messages

    Step-by-step explanation:

    Total 112 text messages sent by K, D, and T. So we can write:

    K + D + T = 112

    Now,

    T sent 10 fewer messages than K, so we can write:

    T + 10 = K

    D sent 4 TIMES as much as T, so we can write:

    D = 4T

    Now, we replace these 2 equations in the first one to get:

    K + D + T = 112

    T + 10 + 4T + T = 112

    Now, we solve for T:

    T + 10 + 4T + T = 112

    6T + 10 = 112

    6T = 112 - 10

    6T = 102

    T = 102/6

    T = 17

    Finding K:

    K = T + 10

    K = 17 + 10

    K = 27

    Finding D:

    D = 4T

    D = 4 (17)

    D = 68
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